Question

A number consists of two digits whose sum is 11. If 9 is added to the number, the digits are reversed. Find the number​

Answer 1

Answer:

The number is 11+9 =21

Step-by-step explanation:

So it's reversed me and the answer is 12

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Answer 2

Step-by-step explanation:

Let the number be 10x+y

Given,

x + y = 11 ....(i)

According to the question

10x + y + 9 = 10y + x

→10x - x + y - 10y = -9

→9x - 9y = -9

→x - y = 1 ....(ii) ( As 9 is common we divide 9 in the R.H.S)

Substitute eqs. (i) in (ii)

y = 11 - x

In (ii)

11 - x - x = 1

→ 11 - 2x = 1

→ -2x = 1 - 11

→ -2x = -10

→ 2x = 10

→ x = 5

Therefore if x = 5,

5 + y = 11

y = 11 - 5

y = 6

So,

10x + y = 56

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